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Finding the Fourth Proportional to 4,186.67, 6,281.36 and 3,265.40

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Solution

The fourth proportional to 4,186.67, 6,281.36 and 3,265.40 is: 4,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.67 : 6,281.36 = 3,265.40 : x
  2. Step 2: Convert to fraction form
    4,186.67/6,281.36 = 3,265.40/x
  3. Step 3: Cross multiply
    4,186.67x = 6,281.36 × 3,265.40
  4. Step 4: Simplify right side
    4,186.67x = 20,511,129.70
  5. Step 5: Solve for x
    x = 20,511,129.70/4,186.67
  6. Step 6: Final answer
    x = 4,899.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.